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14013440 = 210571723
BaseRepresentation
bin110101011101…
…010000000000
3222100221211022
4311131100000
512041412230
61220205012
7230053340
oct65352000
928327738
1014013440
117a01561
124839768
132b9859c
141c0ad20
15136c1e5
hexd5d400

14013440 has 176 divisors, whose sum is σ = 42446592. Its totient is φ = 4325376.

The previous prime is 14013437. The next prime is 14013443. The reversal of 14013440 is 4431041.

14013440 = T119 + T120 + ... + T440.

It is an interprime number because it is at equal distance from previous prime (14013437) and next prime (14013443).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609269 + ... + 609291.

Almost surely, 214013440 is an apocalyptic number.

14013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21223296).

14013440 is an abundant number, since it is smaller than the sum of its proper divisors (28433152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14013440 is a wasteful number, since it uses less digits than its factorization.

14013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 14013440 is about 3743.4529514874. The cubic root of 14013440 is about 241.0913263033.

Adding to 14013440 its reverse (4431041), we get a palindrome (18444481).

The spelling of 14013440 in words is "fourteen million, thirteen thousand, four hundred forty".